Physics – Quantum Physics
Scientific paper
2005-03-08
Physics
Quantum Physics
10 pages, 8 figures; v2: some comments added and other minor changes
Scientific paper
10.1103/PhysRevA.72.012327
We propose a novel implementation of discrete time quantum walks for a neutral atom in an array of optical microtraps or an optical lattice. We analyze a one-dimensional walk in position space, with the coin, the additional qubit degree of freedom that controls the displacement of the quantum walker, implemented as a spatially delocalized qubit, i.e., the coin is also encoded in position space. We analyze the dependence of the quantum walk on temperature and experimental imperfections as shaking in the trap positions. Finally, combining a spatially delocalized qubit and a hyperfine qubit, we also give a scheme to realize a quantum walk on a two-dimensional square lattice with the possibility of implementing different coin operators.
Birkl Gerhard
Eckert Kai
Lewenstein Maciej
Mompart Jordi
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